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\begin{document}

\title{Distributed power control scheme of femto APs considering
  network faireness}

\author{Se-Young Yun and  Dong-Ho Cho \thanks{S. Yun  and D. Cho are with the Department of
    Electrical Engineering, KAIST, South Korea (e-mail:
     syyun@comis.kaist.ac.kr, dhcho@ee.kaist.ac.kr).} }

\maketitle


\begin{abstract}
  From the introducing of smart devices, the traffic demand of
  wireless data is exponentially increasing. Femtocell networks is one
  of key technologies to solve the traffic explosion especially for
  indoor area traffic. Because the femtocell networks are deployed in
  house or office area by users, the access point of femtocell network
  called femto AP should be designed as operated in distributed way.
  In this work, a distributed power control scheme for femtocell
  networks is proposed, which considers both fairness between users
  and power consumption of femto APs by using a game model. According
  to the game model, each femto AP tries to maximize its payoff
  function which is designed to enhance the value of proportional fair
  utility function. The payoff function also consider the number of
  users who be served from the femto AP. As the number of users
  increases, the femto AP tends to use more power under the game
  model.  Moreover, we prove that our game model has a unique NE and
  the NE is globally stable.
\end{abstract}

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\section*{Appendix}
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